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Finding the Third Proportional to 238,103,310.94 and 512,695,441.13

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Solution

The third proportional to 238,103,310.94 and 512,695,441.13 is: 1,103,960,353.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,103,310.94 : 512,695,441.13 = 512,695,441.13 : x
  2. Step 2: Convert to fraction form
    238,103,310.94/512,695,441.13 = 512,695,441.13/x
  3. Step 3: Cross multiply
    238,103,310.94x = 512,695,441.13 × 512,695,441.13
  4. Step 4: Simplify right side
    238,103,310.94x = 262,856,615,350,358,336
  5. Step 5: Solve for x
    x = 262,856,615,350,358,336/238,103,310.94
  6. Step 6: Final answer
    x = 1,103,960,353.66

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.